How to replace Ubuntu with Arch on a dual boot?

I want to replace Ubuntu Linux on my current set up. Currently I have a dual boot with Ubuntu Mate and Windows 10. I would like replace the Ubuntu installation with Arch.

But before I do so I was wondering what preparation I should do before erasing /dev/sdc and reinstalling. I used Grub2 to chose which operating system to start.

$ dpkg --list | grep grub 
ii  grub-common                                                 2.02~beta2-36ubuntu3.17                                 amd64        GRand Unified Bootloader (common files)
ii  grub-efi-amd64                                              2.02~beta2-36ubuntu3.17                                 amd64        GRand Unified Bootloader, version 2 (EFI-AMD64 version)
ii  grub-efi-amd64-bin                                          2.02~beta2-36ubuntu3.17                                 amd64        GRand Unified Bootloader, version 2 (EFI-AMD64 binaries)
ii  grub-efi-amd64-signed                                       1.66.17+2.02~beta2-36ubuntu3.17                         amd64        GRand Unified Bootloader, version 2 (EFI-AMD64 version, signed)
ii  grub2-common                                                2.02~beta2-36ubuntu3.17                                 amd64        GRand Unified Bootloader (common files for version 2)
ii  grub2-themes-ubuntu-mate                                    0.3.7                                                   all          GRand Unified Bootloader, version 2 (ubuntu-mate theme)

So should the settings be saved? If yes how is this accomplished. Further down you see that I have three hard drives

$ parted --list
Model: ATA Samsung SSD 840 (scsi)
Disk /dev/sda: 250GB                                    
Sector size (logical/physical): 512B/512B
Partition Table: gpt
Disk Flags: 

Number  Start   End    Size   File system  Name                          Flags
 1      1049kB  106MB  105MB  fat32        EFI system partition          boot, esp
 2      106MB   240MB  134MB               Microsoft reserved partition  msftres
 3      240MB   250GB  249GB  ntfs         Basic data partition          msftdata
 4      250GB   250GB  472MB  ntfs                                       hidden, diag


Model: ATA ST1000LM024 HN-M (scsi)
Disk /dev/sdb: 1000GB
Sector size (logical/physical): 512B/4096B
Partition Table: msdos
Disk Flags: 

Number  Start   End     Size    Type     File system  Flags
 1      1049kB  1000GB  1000GB  primary  ntfs


Model: ATA KINGSTON SV300S3 (scsi)
Disk /dev/sdc: 120GB
Sector size (logical/physical): 512B/512B
Partition Table: gpt
Disk Flags: 

Number  Start   End    Size    File system     Name                  Flags
 1      1049kB  538MB  537MB   fat32           EFI System Partition  boot, esp
 2      538MB   103GB  102GB   ext4
 3      103GB   120GB  17,1GB  linux-swap(v1)